98152560 has 360 divisors, whose sum is σ = 395372016. Its totient is φ = 22394880.

The previous prime is 98152553. The next prime is 98152573. The reversal of 98152560 is 6525189.

It is a happy number.

98152560 is a `hidden beast` number, since 98 + 1 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5773672 + ... + 5773688.

Almost surely, 2^98152560 is an apocalyptic number.

98152560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197686008).

98152560 is an abundant number, since it is smaller than the sum of its proper divisors (297219456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98152560 is a wasteful number, since it uses less digits than its factorization.

98152560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 98152560 is about 9907.1973837206. The cubic root of 98152560 is about 461.2827460392.

The spelling of 98152560 in words is "ninety-eight million, one hundred fifty-two thousand, five hundred sixty".